Interactive Digital Drawing and Physical Realization

2:

• The method of claim 1, wherein, said primitive type is a user-input sketch, and further comprising said user selecting one or more object start locations in a current input plane;
• and, automatically generating an instantiation of said vector graphic primitive at each selected object start location.

3:

• The method of claim 2, further comprising, said user selecting one of size randomization and a structural randomization, or a combination thereof;
• and wherein if size randomization is selected each instantiation of said vector graphic primitive generates a random-sized instantiation of said user-input sketch;
• and if structural randomization is selected, each instantiation of said vector graphic primitive generates a randomly-structured instantiation of said user-input sketch.

4:

• The method of claim 2, further comprising a predetermined growth algorithm, and wherein said object start locations are selected according to said predetermined growth algorithm.

6:

• The method of claim 5, wherein, said user-selected unit-cell is a cube-shaped wire frame, said predetermined growth algorithm generates two or more vertices of a 3D lattice structure, said composite vector graphic is a wire-frame model of a 3D lattice, and said 3D printed object is a 3D printed lattice.

7:

• The method of claim 1, wherein said graphic primitive is one of a convex polyhedron, a cube, a parallelepiped, a sphere, a diamond, a pyramid, and an ellipsoid;
• and wherein said 3D printable mesh is a polygonal mesh.

9:

• The method of claim 8, wherein, a plane of each of said squares is orthogonal to a base vector joining said start point and said end point, the first square is centered on said start point, and said second square is centered on said end point, and each square has two sides that are perpendicular to an input plane in which said cube was selected.

10:

• The method of claim 7, wherein, said graphic primitive is selected to be a sphere, said start point and end point are separated by a distance 2R and wherein said sphere is approximated by automatically dividing said distance 2R into N equal lengths, of size x=2R/N, and constructing polygons at each of the nodes created by said division, said polygons being in an orthogonal plane to a joining vector joining said start and end points, and being drawn on circles centered on said joining vector and having a radius equal to SQRT(2R·nx−nx·nx), where n represents which number node the polygon is being drawn at.

12:

• The method of claim 11, wherein said graphic primitive type is a user-input sketch and where said user-input sketch comprises one or more first plane points having x and y coordinates selected in said 1st 2D input plane, and one or more second plane points having x and y coordinates selected in said 2nd 2D input plane

13:

• The method of claim 12, wherein, said drawing device comprises a 2D touch screen.

14:

• The method of claim 13, wherein, said first angle of rotation is about an axis is selected from being parallel to, or having an orthogonal component to, said first 2D input plane.

15:

• The method of claim 12, wherein, said drawing device comprises a virtual 2D input plane.